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Finding the Third Proportional to 122,020 and 285,066

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Solution

The third proportional to 122,020 and 285,066 is: 665,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,020 : 285,066 = 285,066 : x
  2. Step 2: Convert to fraction form
    122,020/285,066 = 285,066/x
  3. Step 3: Cross multiply
    122,020x = 285,066 × 285,066
  4. Step 4: Simplify right side
    122,020x = 81,262,624,356
  5. Step 5: Solve for x
    x = 81,262,624,356/122,020
  6. Step 6: Final answer
    x = 665,977.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.